Biomedical Engineering Reference
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y
θ=0 for G
2
Lobe Profile
θ=π/4
x
θ=0 for G
1
Pitch Circle
G
1
(
θ
)
G
2
(
θ
)
Figure 6.4
Lobe proile design.
G
1
y
= 6sin
(
R
) + 3cos(2
R
) sin(
Q
-
R
(6.2)
Outer proile:
G
2
x
= 6cos(
Q
/2
-
R
- 3 cos(2
R
) cos(3
Q
/2
- 3
R
)
(6.3)
G
2y
= 6sin(
Q
/2 -
R
) - 3 cos(2
R
) sin(3
Q
/2 - 3
R
)
(6.4)
R
varies from 0 to
Q
/4. For the irst quadrant
of the plane, Eqs. 6.1 and 6.2 deine the proile inside the
pitch
circle and Eqs. 6.3 and 6.4 outside it. The proile in the other three
quadrants is generated symmetrically. Figure 6.5 shows the hollow
shaft and transmission used for coupling reciprocating and rotational
actuators to the piston-lobe pump, the gearbox, and the lobe pump
static casing.
For both equations,
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